• Corpus ID: 54533715

Statistical shape analysis in a Bayesian framework for shapes in two and three dimensions

@article{Tsiftsi2018StatisticalSA,
  title={Statistical shape analysis in a Bayesian framework for shapes in two and three dimensions},
  author={T. Tsiftsi},
  journal={arXiv: Methodology},
  year={2018}
}
  • T. Tsiftsi
  • Published 28 February 2018
  • Mathematics
  • arXiv: Methodology
In this paper, we describe a novel shape classification method which is embedded in the Bayesian paradigm. We discuss the modelling and the resulting shape classification algorithm for two and three dimensional data shapes. We conclude by evaluating the efficiency and efficacy of the proposed algorithm on the Kimia shape database for the two dimensional case. 

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References

SHOWING 1-6 OF 6 REFERENCES
Statistical Shape Analysis
Preliminaries: Size Measures and Shape Coordinates. Preliminaries: Planar Procrustes Analysis. Shape Space and Distance. General Procrustes Methods. Shape Models for Two Dimensional Data. Tangent
Bayesian shape modelling of cross-sectional geological data
TLDR
The first steps towards a coherent statistical analysis of cross-sectional shapes of sand bodies are described by deriving the integrated likelihood for data shapes given class parameters.
Looking for Shapes in Two-Dimensional Cluttered Point Clouds
TLDR
Simulation of high-probability configurations of sampled contours of point clouds using models learned from training data to evaluate the given test data leads to estimates of posterior probabilities of different classes and, hence, Bayesian classification.
ESTIMATION OF THE CONCENTRATION PARAMETERS OF THE FISHER MATRIX DISTRIBUTION ON 50(3) AND THE BINGHAM DISTRIBUTION ON Sq, q≥ 2
Summary Two procedures are considered for estimating the concentration parameters of the Fisher matrix distribution for rotations or orientations in three dimensions. The first is maximum
Kimia database. Available at www.lems.brown.edu/ dmc
  • 2015
Estimation of the concentration parameters of the Fisher matrix distribution on SO(3) and the Bingham distribution on Sq, q > 2, Australian
  • Journal of Statistics,
  • 1993